PhD in Mathematics, Rutgers University, United Kingdom (2002)
Civil Engineering in Mathematics, Universidad de Chile (1996)
Affiliation
Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (CMM)
Facultad de Ciencias Físicas y Matemáticas
Universidad de Chile
Position
Professor
Research Area
Nonlinear Analysis
Contact
jdavila@dim.uchile.cl
+56 2 2978 4900
address: Beauchef 851, North Building, office 524, 5th floor, Santiago , Chile
Preprints
- Juan Dávila, Manuel del Pino, Xuan Hien Nguyen, Finite topology self-translating surfaces for the mean curvature flow in R3. 2015. (arxiv)
- Juan Dávila, Manuel del Pino, Serena Dipierro, Enrico Valdinoci, Nonlocal Delaunay surfaces. 2015. (arxiv)
- Juan Dávila, Manuel del Pino, Juncheng Wei, Nonlocal s-minimal surfaces and Lawson cones. 2014. (arxiv)
- Juan Dávila, Manuel del Pino, Serena Dipierro, Enrico Valdinoci, Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. 2014. (arxiv)
- Juan Dávila, Louis Dupaigne, Juncheng Wei, On the fractional Lane-Emden equation. 2014. (arxiv)
- Juan Dávila, Luis López Ríos, Yannick Sire, Bubbling solutions for nonlocal elliptic problems. 2014. (arxiv)
Publications
- Juan Dávila, Angela Pistoia, Giusi Vaira, Bubbling solutions for supercritical problems on manifolds. J. Math. Pures Appl. (9) 103 (2015), no. 6, 1410–1440. PDF
- B. Abdellaoui, K. Biroud, J. Davila, F. Mahmoudi, Nonlinear elliptic problem related to the Hardy inequality with singular term at the boundary. Commun. Contemp. Math. 17 (2015), no. 3, 1450033, 28 pp. PDF
- Juan Dávila, Louis Dupaigne, Kelei Wang, Juncheng Wei, A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem. Adv. Math. 258 (2014), 240–285. PDF
- Juan Dávila, Olivier Goubet, Partial regularity for a Liouville system. Discrete Contin. Dyn. Syst. 34 (2014), no. 6, 2495–2503. PDF
- Juan Dávila, Manuel del Pino, Juncheng Wei, Concentrating standing waves for the fractional nonlinear Schrödinger equation. J. Differential Equations 256 (2014), no. 2, 858–892.
- Juan Dávila, Manuel del Pino, Yannick Sire, Nondegeneracy of the bubble in the critical case for nonlocal equations. Proc. Amer. Math. Soc. 141 (2013), no. 11, 3865–3870.
- Juan Dávila, Isabel Flores, Ignacio Guerra, Multiplicity and singular solutions for a Liouville-type system in a ball. Adv. Differential Equations 18 (2013), no. 9-10, 797–824.
- Wenjing Chen, Juan Dávila, Resonance phenomenon for a Gelfand-type problem. Nonlinear Anal. 89 (2013), 299–321.